John Gill Commentary 1 Kings 2:34

"Then Benaiah the son of Jehoiada went up, and fell upon him, and slew him; and he was buried in his own house in the wilderness." — 1 Kings 2:34 (ASV)

So Benaiah the son of Jehoiada went up
To Gibeon, which was a great high place, (1 Kings 3:4) ;

and fell upon him, and slew him ;
at the altar; or, dragging him from it at some distance, drew his sword and slew him:

and he was buried in his own house in the wilderness ;
not in his dwelling house strictly taken, but in a garden or field adjoining to it, which house in the wilderness; not a waste place uninhabited; for, as Kimchi observes, this word sometimes signifies a place uninhabited, though not tilled, but left for pasture of cattle.

And in such a place might Joab's house be, at least his country house, where he might have a farm, and fields, and cattle, as it is plain he had, (2 Samuel 14:30) .